7947953 has 16 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 7076160.

The previous prime is 7947941. The next prime is 7947971. The reversal of 7947953 is 3597497.

It is a happy number.

It is not a de Polignac number, because 7947953 - 2⁴ = 7947937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7947983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72863 + ... + 72971.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 2^7947953 is an apocalyptic number.

It is an amenable number.

7947953 is a deficient number, since it is larger than the sum of its proper divisors (922447).

7947953 is a wasteful number, since it uses less digits than its factorization.

7947953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 238140, while the sum is 44.

The square root of 7947953 is about 2819.2114145626. The cubic root of 7947953 is about 199.5653309987.

The spelling of 7947953 in words is "seven million, nine hundred forty-seven thousand, nine hundred fifty-three".